Least Common Multiple of 6620 and 6626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6620 and 6626 the smallest integer that is 21932060 that is divisible by both numbers.

Least Common Multiple (LCM) of 6620 and 6626 is 21932060.

LCM(6620,6626) = 21932060

LCM of 6620 and 6626

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6620 and 6626

LCM of 6620 and 6626 is 21932060

Least common multiple can be found by multiplying the highest exponent prime factors of 6620 and 6626. First we will calculate the prime factors of 6620 and 6626.

Prime Factorization of 6620


2 6620
2 3310
5 1655
331 331
1

Prime factors of 6620 are 2, 5,331. Prime factorization of 6620 in exponential form is:

6620 = 22×51×3311

Prime Factorization of 6626


2 6626
3313 3313
1

Prime factors of 6626 are 2,3313. Prime factorization of 6626 in exponential form is:

6626 = 21×33131

Now multiplying the highest exponent prime factors to calculate the LCM of 6620 and 6626.

LCM(6620,6626) = 22×51×3311×33131
LCM(6620,6626) = 21932060

Factors of 6620

List of positive integer factors of 6620 that divides 6620 without a remainder.

1, 2, 4, 5, 10, 20, 331, 662, 1324, 1655, 3310, 6620

Factors of 6626

List of positive integer factors of 6626 that divides 6626 without a remainder.

1, 2, 3313, 6626

Least Common Multiple of 6620 and 6626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6620 and 6626, than apply into the LCM equation.

GCF(6620,6626) = 2
LCM(6620,6626) = ( 6620 × 6626) / 2
LCM(6620,6626) = 43864120 / 2
LCM(6620,6626) = 21932060

Properties of LCM 6620 and 6626

(i) The LCM of 6626 and 6620 is associative

LCM of 6620 and 6626 = LCM of 6626 and 6620

Related Least Common Multiples of 6620

Related Least Common Multiples of 6626

Frequently Asked Questions on LCM of 6620 and 6626

1. What is the LCM of 6620 and 6626?

Answer: LCM of 6620 and 6626 is 21932060.

2. What are the Factors of 6620?

Answer: Factors of 6620 are 1, 2, 4, 5, 10, 20, 331, 662, 1324, 1655, 3310, 6620. There are 12 integers that are factors of 6620. The greatest factor of 6620 is 6620.

3. What are the Factors of 6626?

Answer: Factors of 6626 are 1, 2, 3313, 6626. There are 4 integers that are factors of 6626. The greatest factor of 6626 is 6626.

4. How to Find the LCM of 6620 and 6626?

Answer:

Least Common Multiple of 6620 and 6626 = 21932060

Step 1: Find the prime factorization of 6620

6620 = 2 x 2 x 5 x 331

Step 2: Find the prime factorization of 6626

6626 = 2 x 3313

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 21932060 = 2 x 2 x 5 x 331 x 3313

Step 4: Therefore, the least common multiple of 6620 and 6626 is 21932060.